An Euclidean representation of Majorana spins

TL;DR

This paper develops an Euclidean representation for bosonized Majorana fermions in three dimensions, highlighting differences from the 3D Ising model and discussing Monte Carlo simulation feasibility.

Contribution

It introduces a novel Euclidean framework for Majorana spins prior to constraints, contrasting it with the standard 3D Ising system.

Findings

Euclidean representation derived for Majorana fermions

Difference from standard 3D Ising model emphasized

Monte Carlo simulations feasible in intermediate volumes

Abstract

An Euclidean representation of bosonized Majorana fermions, prior to imposing constraints, is derived in three space-time dimensons. The difference with the standard three dimensional Ising system is epmhasized. The mild sign problem, does not preclude Monte Carlo simulations in intermediate volumes. Implementing constraints is briefly outlined.